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A240295 T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4 11
2, 4, 2, 8, 6, 4, 16, 26, 24, 4, 32, 90, 206, 56, 8, 64, 340, 1322, 974, 230, 8, 128, 1194, 9970, 12164, 8064, 552, 16, 256, 4424, 63892, 180886, 200864, 38252, 2270, 16, 512, 15766, 459420, 2228098, 5967512, 1867678, 316962, 5456, 32, 1024, 57754, 2983714 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..2.....4........8..........16............32.............64............128

..2.....6.......26..........90...........340...........1194...........4424

..4....24......206........1322..........9970..........63892.........459420

..4....56......974.......12164........180886........2228098.......31650312

..8...230.....8064......200864.......5967512......144185218.....4068505132

..8...552....38252.....1867678.....109846410.....5231971212...293426742772

.16..2270...316962....31042576....3655313420...346662397488.38864331960018

.16..5456..1502948...289075166...67561324734.12734002906536

.32.22416.12468758..4812019390.2255342381120

.32.53864.59122266.44835430372

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..97

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-2)

k=2: a(n) = 12*a(n-2) -24*a(n-4) +31*a(n-6) -16*a(n-8) for n>9

k=3: [order 48] for n>50

Empirical for row n:

n=1: a(n) = 2*a(n-1)

n=2: [order 12]

n=3: [order 80] for n>81

EXAMPLE

Some solutions for n=4 k=4

..3..1..1..3....3..1..1..0....3..1..1..0....1..3..3..1....1..0..0..0

..3..2..2..0....3..0..0..0....3..2..2..1....1..0..2..0....1..0..3..3

..3..2..0..0....1..0..2..0....1..0..2..2....1..2..0..1....3..0..2..0

..1..2..0..2....3..0..0..0....3..0..2..3....3..2..0..2....1..3..2..3

CROSSREFS

Column 1 is A016116(n+1)

Row 1 is A000079

Sequence in context: A278257 A278533 A204898 * A113477 A279350 A278221

Adjacent sequences:  A240292 A240293 A240294 * A240296 A240297 A240298

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 03 2014

STATUS

approved

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Last modified April 26 04:55 EDT 2019. Contains 322469 sequences. (Running on oeis4.)